Complexity of checking whether two automata are synchronized by the same language

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Abstract

A deterministic finite automaton A is said to be synchronizing if it has a reset word, i.e. a word that brings all states of the automaton A to a particular one. We prove that it is a PSPACE-complete problem to check whether the language of reset words for a given automaton coincides with the language of reset words for some particular automaton. © 2014 Springer International Publishing.

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Maslennikova, M. (2014). Complexity of checking whether two automata are synchronized by the same language. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8614 LNCS, pp. 306–317). Springer Verlag. https://doi.org/10.1007/978-3-319-09704-6_27

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